Numeracy Foundation November 2018 Unit 2 Q2
2. In the UK, in 2016, four popular social networking websites were used.
A website listed approximately how many people used them.
Some of the information can be found in the table and pictogram below.
- The number of people who used Twitter was half of the number of people who used Facebook.
- Four million more people used Instagram than used Snapchat.
| Website | UK users (millions) |
|---|---|
| Snapchat | 10 |
(a) In the pictogram, 
represents 8 million UK users.
represents 8 million UK users.How many UK users does 
represent?
Circle your answer. [1]
7 million 4 million 5 million 6 million 2 million
(b) Complete the missing information in the table and the pictogram. [6]
(c) Approximately 65 640 000 people lived in the UK in 2016.
Rahman believes that more than half of the people who lived in the UK in 2016 used Facebook.
Is Rahman correct?
Yes ☐ No ☐
Give a reason for your answer. [1](d) Five friends recorded the number of minutes they spent using social networking websites in a week (including Saturday and Sunday).
The results are shown in the table below.
| Alfie | Catrin | Elsie | Lowri | Lionel |
|---|---|---|---|---|
| 525 minutes | 210 minutes | 870 minutes | 420 minutes | 480 minutes |
Are the statements below true or false?
You must show all your working.
(i) [2]
| Elsie spent more than 15 hours using social networking websites that week. | TRUE ☐ FALSE ☐ |
(ii) [2]
| The mean number of minutes Alfie spent using social networking websites each day that week was 75. | TRUE ☐ FALSE ☐ |
| Scheme | Marks | Comments |
|---|---|---|
| 6 million | B1 |
| Scheme | Marks | Comments | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| B1 B1 B1 | Answers in table and pictogram take precedence. F.T ‘their 32’ ÷ 2 If millions written in full (e.g. 32 000 000) penalise first time only. | ||||||||||
 | B1 | 2 symbols drawn F.T ‘their 16’ | ||||||||||
 | B1 | 1¼ symbols drawn Allow intention of ¼ symbol drawn (if a strip is drawn must be less than half a symbol) | ||||||||||
 | B1 | 1¾ symbols drawn F.T ‘their 14’ drawn provided not a multiple of 8 Allow intention of ¾ symbol drawn (if a strip is drawn must be greater than half and less than a whole) |
| Scheme | Marks | Comments |
|---|---|---|
| No stated or implied and valid explanation e.g. “Half of 65640000 is 32820000 which is more than 32000000” “Double 32 million is 64 million which is less than 65 (or 66) million” “32 million is less than half the population” | E1 | F.T 'their 32 million' from (b) with correct conclusion Do not accept No and “because 32 million used facebook” No and “65 640 000 ÷ 2 = 32 820 000” No and “ 32 + 32 = 64” |
| Scheme | Marks | Comments |
|---|---|---|
| (i) 15 × 60 OR 870 ÷ 60 900 (mins) 14.5 (hours) and False and False | M1 A1 | ISW Accept 14(….) hours False needs to be stated or clearly implied Do not accept “there’s not 870 minutes in 15 hours” |
| (ii) Sight of 75 × 7 and True OR 525 ÷ 7 and True OR 525 ÷ 75 and True | B2 | B1 for sight of 75 × 7 OR 525 ÷ 7 OR 525 ÷ 75 Do not accept “Alfie spends 525 minutes” |